A coaching academy divides its students into 2 groups. Forty percent of students are in the high caliber group, and sixty percent are in the low caliber group. The high caliber Students make an average of 1 mistake in final exam while the low caliber make an average of 4 mistakes in final exam. Ronaldo had made no mistake in last year final exam. Use the suitable probability distribution function to find the probability that he is a high caliber student?